noun, plural inconsistencies for 2.
the quality or condition of being inconsistent.
an inconsistent thing, action, remark, etc.
Also, inconsistence.

1640–50; in-3 + consistency Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
inconsistency (ˌɪnkənˈsɪstənsɪ)
n , pl -cies
1.  lack of consistency or agreement; incompatibility
2.  an inconsistent feature or quality
3.  logic
 a.  the property of being inconsistent
 b.  a self-contradictory proposition

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
While there may seem to be an inconsistency here, the distinction lies in the
  culture in which the practice was filmed.
But with the plain-future system there is difficulty and some inconsistency.
The inconsistency across studies has hampered firm conclusions about the
  relevance of these findings, however.
It is plausible that the seminal fluid is the factor, but the article should
  revisit this inconsistency.
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